Theorems · Theorem · nonassociative algebras

LieRinehartSubalgebra.toSubmodule_mk

∀ {A : Type u_1} {L : Type u_2} [inst : CommRing A] [inst_1 : LieRing L] [inst_2 : Module A L] (p : Submodule A L)
  (h : ∀ {a b : L}, a ∈ p.carrier → b ∈ p.carrier → ⁅a, b⁆ ∈ p.carrier),
  { toSubmodule := p, lie_mem' := h }.toSubmodule = p

Defined in

Mathlib.Algebra.LieRinehartAlgebra.Subalgebra

Cited by

0 results in Mathlib

Foundations

Depth 9 from the axioms · uses no axioms

Assumes

CommRingLieRingModule